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Finding the Third Proportional to 24,820 and 54,296

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Solution

The third proportional to 24,820 and 54,296 is: 118,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820 : 54,296 = 54,296 : x
  2. Step 2: Convert to fraction form
    24,820/54,296 = 54,296/x
  3. Step 3: Cross multiply
    24,820x = 54,296 × 54,296
  4. Step 4: Simplify right side
    24,820x = 2,948,055,616
  5. Step 5: Solve for x
    x = 2,948,055,616/24,820
  6. Step 6: Final answer
    x = 118,777.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.